rotating solids
True or false: All solids made by a rotating 2D figure should have a circular base.
True
What 2D shape do I get when I take a cross section of a sphere?
Find the volume of a triangular prism with a base area of 34 square inches and a height of 8.2 inches.
278.8 cubic inches
Find the volume of a cylinder with a base diameter of 22 cm and a height of 94.5 cm.
35,922.5 cubic cm
To find the surface area of a 3D figure, take all of the areas of the faces and _____________
What 3D shape is made when rotating a rectangle?
Cylinder
Name a 3D figure that has a VERTICAL cross section of a triangle.
Cone, Pyramid
Find the volume of a pyramid with a square base, where the side length of the base is 18.2 in and the height of the pyramid is 28.8 in.
3179.9 cubic inches
Find the volume of a cone with a diameter of 3 units and a height of 6.8 units
16.0 cubic units
Name one real world purpose for calculating surface area.
Wrapping, Upholstery, Clothing, Covering a 3D object
What 2D shape can be rotated to create a cone?
Triangle
True or false: All prisms have at least one cross section that is a rectangle
True
Find the height of the prism with a volume of 654.8 cubic units and a base area of 39.1 units.
16.7 square units
The volume of a right cone is 3975π cubic units. If its radius measures 15 units, find its height.
53
Find the surface area of a rectangular prism with a length of 7cm, a width of 8 cm, and a height of 12 cm
472 square centimeters
What happens when we rotate a 2D figure not directly on the axis of rotation?
A hole is created in the middle of the 3D figure
All horizontal cross sections are the same shape as the _______________ of a 3D figure
base
The volume of a triangular pyramid is 425 cubic units. If the base and height of the triangle that forms its base are 15 units and 10 units respectively, find the height of the pyramid.
17 units
Find the radius of a cylinder with a volume of 87.9 cubic inches and a height of 7 inches
2
What is the surface area of a rectangular prism with dimensions 7 cm by 6 cm by 9 cm?
264 square centimeters